12: 12 zero error physiological standard map positive sphere and ellipsoid waist drum projection law

Abstract

The invention discloses a 12-to-12 zero-error physiological standard map positive sphere and ellipsoid waist drum projection law, relates to the technical field of standard maps, and aims to solve the problems that all maps smaller than a 12-to-1686666.6) 2 scale in the current world are all full-pseudo maps, all maps larger than or equal to the 12-to-1686666.6) 2 scale are half-pseudo maps, and all the maps are not all-pseudo maps. Therefore, the law of the regular sphere and the ellipsoid waist drum in the standard map needs to be reset. The method comprises the following steps: 1, determining a positive ball waist drum projection; 2, determining a projection of an ellipsoid waist drum; 3, enabling projection data to have zero errors, enabling angle deformation to be equal to absolute zero, enabling length deformation to tend to be absolute zero, enabling area deformation to tend to be absolute zero; 4, determining that a completely overlapped range on the spherical surfaces of the geosphere and the green sphere is an effective range of the basic projection; and step 5, determining the effective range of the basic projection in the range of complete coincidence on the spherical surfaces of the geodesic ellipsoids and the geodesic ellipsoids.

Description

technical field [0001] The present invention relates to the technical field of standard maps, specifically 1 2 than 1 2 Zero-error physiological standard map The law of positive spherical and ellipsoidal waist drum projections. Background technique [0002] The standard map is compiled according to the national border drawing standards of China and other countries in the world. It has a strict numerical basis, symbol system, text annotation, and can use the principle of map overview to scientifically reflect the distribution characteristics of natural and social economic phenomena. and their interrelationships. [0003] View with 1 2 than 1 2 The radius of the positive sphere of the zero-error physiological standard map (R O ) = 8763.824775KM (Note: 3.14159 is used for π) and the calculated "Physiological boundary scale of true and false maps" is 1 2 Ratio (1686666.6) 2 , and given the use of 1 2 than 1 2 The parameter elements of the ellipsoid of the zero-error phy...

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Problems solved by technology

[0004] The purpose of the present invention is to provide 12 to 12 zero error physiological standard map positive sphere and ellipsoid waist drum projection law, to solve the existing world today in the above-mentioned background technology all less than 1 2 Ratio (1686666.6) 2 The scale maps are all pseudo-maps, all the maps greater than or equal to 1 2 Ratio (1686666.6) 2 Scale maps are semi-pseudo-maps, so the laws of the standard map positive sphere and ellipsoid waist drum need to be reset

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